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Finding the Third Proportional to 1,935.70 and 4,247.16

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Solution

The third proportional to 1,935.70 and 4,247.16 is: 9,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.70 : 4,247.16 = 4,247.16 : x
  2. Step 2: Convert to fraction form
    1,935.70/4,247.16 = 4,247.16/x
  3. Step 3: Cross multiply
    1,935.70x = 4,247.16 × 4,247.16
  4. Step 4: Simplify right side
    1,935.70x = 18,038,336.21
  5. Step 5: Solve for x
    x = 18,038,336.21/1,935.70
  6. Step 6: Final answer
    x = 9,318.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.